*Breaking News:* KZbinr puts all of the country's Calculus teachers out of business!
@kavyahegade64774 жыл бұрын
I never knew someone can teach calculus like this.. you taught very smartly so that anybody can understand it and also love it.. you're a math-magician and mathematician for sure. If you people reading this comment agree, then watch his every video.
@yesserlabidi78312 жыл бұрын
This is becoming my favorite hobby to watch all his videos and understand all so easily he is really a great teacher !!
@kavyahegade64772 жыл бұрын
@@yesserlabidi7831 true!
@laurahunter2769 Жыл бұрын
Agreed! I think this is a true teacher, and I’m just now realizing I’ve had very few (if any) true teachers teaching me my entire life.
@snakeywakey38934 жыл бұрын
This has got to be the best explanation I have seen. I understand it now. You are a good man, thank you.
@MichaelSmith-rn2vk4 жыл бұрын
Professor Dave actually made Calculus 2 fun.......this is insane, thank you so much!
@qwertyjhs3 жыл бұрын
I am a college student at CUNY taking Calculus I. My professor is terrible. I spent 4+ hours scouring the internet trying to learn how to solve an Integrals problem that was included in my homework. In the first two minutes, this video made me understand how to go about tackling the problem. Thank you so much. Making education free and accessible to all is just ... all I can say is thank you. Thank you.
@HellooDae5 ай бұрын
I hope your college studies went well!
@KlsonBob4 жыл бұрын
Dave, you took my math teacher's job, literally plays your video in class instead of actually teaching.
@Baeyab4 жыл бұрын
2 years later and this video has taught me more than my three classes last week
@nirupamam28144 жыл бұрын
I wonder why can't others teach the way he does.. Thanks a lot Professor Dave!
@republicofprogaming7853 жыл бұрын
You are the most accurate and precise teacher I've ever met in my life.
@desi_bhai_ Жыл бұрын
you are a real teacher, you taught the topic i never understood by a series that takes no time and explains clearly
@kittujasthi885 ай бұрын
Your videos are very helpful. Less confusing han other videos on the net. You are so underated than you deserve.
@swophonorious41274 жыл бұрын
It’s all so very clear now! Thank you, Profesor Dave.
@user-bs7mv5rh1u6 ай бұрын
Love the misspell
@Kiky_MedPhysicist14 күн бұрын
Thank you sir for your dedication and for making this free! 🙏
@bothoseretse96052 жыл бұрын
Where was this video all my life!!!!!!!!!
@sleepn_on_me2473 Жыл бұрын
wow. gamechanger. Got a business intro. calc final tomorrow. wish me luck
@user-bs7mv5rh1u6 ай бұрын
How did it go?
@sleepn_on_me24736 ай бұрын
@@user-bs7mv5rh1u well….. not so well😭 However i did so well on the first few exams so i was able to pass the class 😁
@sleepn_on_me24736 ай бұрын
@@user-bs7mv5rh1u thx for askin
@aselim20. Жыл бұрын
I watched it and I took notes.
@nsfeliz78252 жыл бұрын
AWESOME! you teach math by teaching it as algorithms instead of concepts. that is you give us math as an opaque black box ,we dont see or understand how it works inside th hood.you just teach us how to use math with no understanding or proofs. i dont "understand " calculus , I DONT CARE. i just know how to use it the same way i drive a car without seeing the engine. i just want to use math to bulid cool circuits. i just wanna pass the exam. i dont givea sh!!t about perfection or understanding . this is the way math should be taught to engineers and normal people. let the philosophers worry about elegance and perfection and derivations and proofs. more power to you sir.😄 keep up the good work.
@user-bs7mv5rh1u6 ай бұрын
Best teacher ever
@josetomy43064 жыл бұрын
Please do a video on complex integrals.
@slowfern11 ай бұрын
binge watching before my exam haha. You are the GOAT for making this playlist.
@user-bs7mv5rh1u6 ай бұрын
How did it go?
@slowfern6 ай бұрын
@@user-bs7mv5rh1u unfortunately i procrastinated a lot so it was bad lol..But i am catching up again these days...
@HellooDae5 ай бұрын
@@slowfern May I know if you're a university student?
@sherisehung459411 ай бұрын
ur videos are very useful for my studies :)) big thanks
@minhazulabedinakib94293 жыл бұрын
Thank you professor Dave Love from Bangladesh
@obayajoshuahumphrey70173 жыл бұрын
this is the best KZbin video I have seen
@XxRespawNxX6195 ай бұрын
Thank you ! Wishing you all the success !
@jmsaberonn74925 жыл бұрын
so much appreciated! Thank you Professor Dave!
@hamidalrawi22046 жыл бұрын
thank you professor Dave, your math videos are very good and useful as much as your chemistry videos
@sakhan94833 ай бұрын
Very easy presentation, thanks, Prof.
@ayatZaher-in6fc6 ай бұрын
why is the integ of 1 is x/1 , it is x why should is divide 4:36 ?
@searchmeinyoutube3 жыл бұрын
This is enough for my CA Foundation Level.
@christophertorres22564 жыл бұрын
You’re an OG Professor Dave
@mahud11214 жыл бұрын
Excellent explanations....Itz very clear
@adelyoutube75303 жыл бұрын
You are the hero of us learners
@muneefqureshi70636 жыл бұрын
I want to ask a question that in reaction of sodium and chlorine to make salt how can chlorine react with sodium when it already cl2
@ProfessorDaveExplains6 жыл бұрын
it gets reduced!
@Minespidur6 жыл бұрын
Thanks so much!
@santoshgujar52376 ай бұрын
✨Thank you, Sir, 🙏🌺✨
@destrisusilaningrum1802 жыл бұрын
Interested, Thankfull prof, 1 shared it to my students
@AbleBrawa4 ай бұрын
Thanks
@swagodaman632010 ай бұрын
Thank you
@sreekumark8780 Жыл бұрын
Love the way you explained... ❤
@bvolpato6 жыл бұрын
Thanks!
@Thaumius6 жыл бұрын
Dave, When you intergrate something don't you have to put a constant C? or is it only if the range is not specified?
@ProfessorDaveExplains6 жыл бұрын
yes that's for indefinite integrals! coming soon.
@bvolpato6 жыл бұрын
From what I got, C is also there for definite integrals, but when you do `F(b) - F(a)` and the constant is on both sides, it just cancels out.
@carultch2 жыл бұрын
@@bvolpato Yes, it is there, it just cancels out, and it becomes unnecessary to write. We can make the constant of integration anything we want, when evaluating definite integrals, and to keep it simple, we just make it zero. Some classes will give you problems such as "find a function F(x) whose derivative is f(x)." By virtue of stating the problem with the indefinite article "a", no matter what you make the constant of integration, or even if you omit it entirely, you've technically answered the question correctly.
@carultch2 жыл бұрын
@@bvolpato One example where it there is value in keeping track of the constants of integration, is in the theory of structural beams. When finding the deflection curve of beams, you often need to evaluate double integrals of integrands such as "k*x * (L-x)", where L is the length between supports and k is a constant from the problem specifics, and its details are a topic for another day. This is for a simple supported beam with a uniformly distributed load across two supports length L apart. Evaluating the double integral, we get y=-1/12*k*x^4 + 1/6*k*L*x^3 + C*x + D, where C and D are arbitrary constants of integration. We want y to equal zero at x=0 and at x=L, because the supports fix the beam in place at these locations. We then solve our two equations for the unknowns, and get D=0 and C = -1/12*k*L^3, which allows us to construct the equation of the elastic curve as y=-1/12*k*x^4 + 1/6*k*L*x^3 - 1/12*k*L^3.
@samuelcabzki81874 жыл бұрын
Clear and Understandable
@durveshsonar7846 Жыл бұрын
4:48 why he takes 1/3 instead of 8/3 ?!!!
@HellooDae5 ай бұрын
That's a way to simplify the equation. Some people write it as 1/3 times 2^3 and some write it like 2^3 over 3 Both result in the same answer
@alexanderkaiser892 жыл бұрын
Hi Professor Dave. I have a request that you may find interesting or not, it’s a mathematical one. I have always found it hard to understand “Inter-universal Teichmüller theory”, “The Collatz Conjecture”, and “The Birch and Swinnerton-Dyer Conjecture”. If you would make a video on one of these topics that would really help 😊 I’m studying a Master’s in mathematics in Denmark. I’m sorry for my English, I’m not mothertongue in English. Btw, I love your content.
@SilverDragonGaming4 жыл бұрын
Hey professor Dave, why in the 3rd example did you put the x^2 from the denominator in the spot of the 1 as x^-2? isn't the whole function being divided by x^2? wish me luck on my calc final tomorrow!
@srisaipatnaik27763 жыл бұрын
7 months late, but this is because according to exponent laws, 1/(x^n) = x^(-n). So 1/x^2 = x^(-2). Just basic simplification....cheers!
@SilverDragonGaming3 жыл бұрын
@@srisaipatnaik2776 lol you're good. When the pandemic hit, I flunked calc and chem so I'm no longer in a stem major XD oh well life is easier now
@srisaipatnaik27763 жыл бұрын
@@SilverDragonGaming Well, I hope you're all fine now...
@md.sirazulislam8835 жыл бұрын
thanks dave
@abhilashasinha5186 Жыл бұрын
the power formula is like the simplest formula possible for integration
@abhilashasinha5186 Жыл бұрын
ok this is simple I tried the integral from 0 to 1 of x and got 0.5 which I also calculated as the area of a triangle and got 1/2(1) = 0.5
@JJPitanga4 жыл бұрын
Man, you are awesome!
@adityashankar52675 жыл бұрын
Hey prof! What'll be Antiderivative of x^-1
@ProfessorDaveExplains5 жыл бұрын
ln(x)
@adityashankar52675 жыл бұрын
@@ProfessorDaveExplains but prof isn't it x^(-1 + 1) /( -1 + 1) which is just 0/0..
@ProfessorDaveExplains5 жыл бұрын
right so that algorithm doesn't work for this exception, i know i derived this fact in one of these calculus videos i just don't remember which one, perhaps there is one on integrals of trig functions or logarithmic functions or something?
@adityashankar52675 жыл бұрын
@@ProfessorDaveExplains thanks prof
@yoon74033 жыл бұрын
what if the area is defined but but you have to find the value of an defined integral
@leormhandelacruz2 жыл бұрын
Is the upper limit b always greater than the lower limit a? What is the upper limit is less than the lower limit? Is it just okay? Thanks.
@carultch Жыл бұрын
The upper limit is most commonly greater than the lower limit of integration, but it doesn't need to be. If the upper limit is less than the lower limit, then the integral outcome is simply the negative of what it ordinarily would be. When the upper limit is greater than the lower limit, the integral indicates positive area above the curve, and negative area below the curve. Vice-versa when the limits are switched. An application of reversed limits of integration, is work done by a gas (positive) and work done on a gas (negative) in an expansion or compression process, like you see in the theory of operation of a car's engine. The process is represented as a path on a pressure (vertical) vs volume (horizontal) graph, and the area under the path is the work done by the gas. If we always put the limits of integration in increasing order, then we would always get a positive area on this plot. This is consistent with the gas expanding and doing positive work. But, when the gas is compressed, there is work done on the gas, so the work needs to be negative. And it is consistent with the way the process happens, since we integrate from a big volume to a small volume to make it negative.
@leormhandelacruz Жыл бұрын
@@carultch Thank you. This is so helpful!
@mathmeup5614 жыл бұрын
nice video
@HellooDae5 ай бұрын
Brilliant
@atchuk90456 жыл бұрын
Good sir
@mohammadaxelariapaskha97913 жыл бұрын
Thanks Professor
@anysianas50994 жыл бұрын
You’re the best
@trafalgardwaterlaw17995 жыл бұрын
the best
@nkkwan67352 жыл бұрын
Bless up
@kcharan9333 жыл бұрын
Thank u sir
@tGoldenPhoenix2 жыл бұрын
Done.
@shishurhuhajhso3 жыл бұрын
*gets few answers right* *my confidence "tym to rise "* professor dave: " don't get cocky" my confidence: "tym to go back to my hole *pyeonnnnnng*
@ayushshukla10426 жыл бұрын
How can I contract you
@r0hale3 жыл бұрын
Imagine a KZbinr teaching you calculus quicker than your college professor :))
@FelixChilangwe3 ай бұрын
You're special
@yaowang98832 жыл бұрын
I don’t know if the variable is x or t
@carultch Жыл бұрын
The d-term will specify what the variable of integration is. As long as you don't write what I call "disrespectful integrals" like ∫cos(x) instead of ∫cos(x) dx, you'll see the intended variable of integration in the notation.
@JamieIlamatna-jm3nx17 күн бұрын
Your explanation are very simple. 🫡
@priscillabello8938 Жыл бұрын
For the compeehension checking who else got different answers?
@Az-rt6dw Жыл бұрын
I love you
@samisiddiqi54113 жыл бұрын
4:04
@MeiziVu3 ай бұрын
8:15 / 9:47 i got 31 over 4.....
@MeiziVu3 ай бұрын
or 15/2.... some one help
@yatsumleung71855 жыл бұрын
king
@imandashti9813 жыл бұрын
Thank you Jesus
@sneakylemon85132 жыл бұрын
I feel like I'm relying on you so heavily for first year I don't know how I'm going to cope with second year 🙈🤣 I hope there's second year content here somewhere, I don't even know what it is yet though
@ProfessorDaveExplains2 жыл бұрын
I’ve got what you need.
@sneakylemon85132 жыл бұрын
@@ProfessorDaveExplains You are amazing! Thank you so much!
@anastasiaanautodidact98563 жыл бұрын
now I am thinking of how infinitely thin a straight line ought to be.......
@carultch2 жыл бұрын
By definition, it has no thickness. You could say that it has an infinitesimal thickness.